Unit 05 - Finding Slope from a Table, Graph, and Points

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) over the change in x (run).

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line that passes through the points (12, -2) and (4, -6)?

Back

1/2

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you determine the type of slope from a graph?

Back

If the line rises from left to right, it has a positive slope. If it falls, it has a negative slope. A horizontal line has a zero slope, and a vertical line has an undefined slope.

Front

Find the slope of the line that passes through the points (1, -19) and (-2, -7).

Back

-4

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope is 4.